A Dialogue on Infinity, between a mathematician and a philosopher. Alexandre Borovik and David Corfield.
A new blog... From the first post:
The project concentrates on one of the principal purposes of the Exploring the Infinite Program:
To understand the nature of and the role played by conceptualizations of infinity in mathematics.
It will be shaped as a dialogue between a mathematician (AB) and a philosopher (DC) and will address one of the central paradoxes of mathematics:
why are most uses of infinity in mathematics restricted to the recycling of a small number of “canonical†and ubiquitous structures?
...To put the study of infinity on a firm basis, we first have to discuss the issue of the identity and “sameness†of mathematical objects: infinity of what?
This is pretty far out for LtU, but I suspect it will interest some more philosophically inclined readers. They will look at a number of disciplines, including computer science.
(I feel like maybe even "Theory" is not theoretical for this. Therefore I am also calling it "Fun".)
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